Understanding by Design Template By Ms. K and Ms. B
Stage 1 - Desired Outcome
Established Goals:
G
-Learn to use exponential functions to model real-world data. -Learn to graph exponential functions and their inverses, logarithmic functions. -Learn to solve exponential and logarithmic equations.
Understandings:
U
Essential Question:
Q
Students will understand that…
· How can we relate exponential functions and logarithmic functions to the real-world?
-To evaluate logarithms, you can write them in exponential form. -A logarithmic function is the inverse of exponential functions. -You can use the properties of logarithms to rewrite logarithmic expressions.
*
*
Students will know . . .
-Properties of Logarithms (Product, Quotient, and Power)
-Equation of a logarithmic function.
-Equation of an exponential function.
K
Students will be able to -Use these properties to evaluate logarithmic and exponential functions. -Identify properties of logarithms, simplify logarithms, and expand logarithms.
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Performance Tasks:
T
Other Evidence:
OE
- Project-Predict U.S. population in 2015 to the nearest million.
* Graph the exponential decay of the depreciated car.
*Compare the amount of energy released in two earthquakes.
Stage 3 - Learning Plan
Learning Activities:
L
*Investigate the energy released in two specific earthquakes.
*Research the decay of depreciated cars that members of your family own family members.
Understandings:
U
Essential Question:
Q
Students will understand that…
· How can we relate exponential functions and logarithmic functions to the real-world?
-To evaluate logarithms, you can write them in exponential form. -A logarithmic function is the inverse of exponential functions. -You can use the properties of logarithms to rewrite logarithmic expressions.
*
*
Students will know . . .
-Properties of Logarithms (Product, Quotient, and Power)
-Equation of a logarithmic function.
-Equation of an exponential function.
K
Students will be able to -Use these properties to evaluate logarithmic and exponential functions. -Identify properties of logarithms, simplify logarithms, and expand logarithms.
Stage 2 - Assessment Evidence
Performance Tasks:
T
Other Evidence:
OE
- Project-Predict U.S. population in 2015 to the nearest million.
By Ms. K and Ms. B
-Learn to graph exponential functions and their inverses, logarithmic functions.
-Learn to solve exponential and logarithmic equations.
-A logarithmic function is the inverse of exponential functions.
-You can use the properties of logarithms to rewrite logarithmic expressions.
-Properties of Logarithms (Product, Quotient, and Power)
-Equation of a logarithmic function.
-Equation of an exponential function.
-Use these properties to evaluate logarithmic and exponential functions.
-Identify properties of logarithms, simplify logarithms, and expand logarithms.
Pg. 451 1-20 odd
Pg. 457 #1-20 even
*Compare the amount of energy released in two earthquakes.
*Research the decay of depreciated cars that members of your family own family members.
-A logarithmic function is the inverse of exponential functions.
-You can use the properties of logarithms to rewrite logarithmic expressions.
-Properties of Logarithms (Product, Quotient, and Power)
-Equation of a logarithmic function.
-Equation of an exponential function.
-Use these properties to evaluate logarithmic and exponential functions.
-Identify properties of logarithms, simplify logarithms, and expand logarithms.
Pg. 451 1-20 odd
Pg. 457 #1-20 even
*Compare the amount of energy released in two earthquakes.
*Research the decay of depreciated cars that members of your family own family members.